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copy and answer simplify
1. (-4 x²) (8 x⁵)=
2. (-3 xy)=
3. (y⁵)²=
4. (3⁴)²=
5. (2x²y)²=
6. (-2a ² b3)³=​


Sagot :

1. (-4 x^2) (8 x^5)

  - Multiply the coefficients: -4 x 8 = -32

  - Add the exponents of x: x^2 x x^5 = x^(2+5) = x^7

  - Result: -32 x^7

2. (-3 xy)

  - Result: -3 xy

3. (y^5)^2

  - Use the power of a power rule: (y^5)^2 = y^(5 x 2) = y^10

  - Result: y^10

4. (3^4)^2

  - Use the power of a power rule: (3^4)^2 = 3^(4 x 2) = 3^8

  - First, find 3^4 = 81

  - Then, square 81: 81^2 = 6561

  - Result: 6561

5. (2x^2y)^2

  - Square the coefficient: (2)^2 = 4

  - Square each variable: (x^2)^2 = x^4 and (y)^2 = y^2

  - Result: 4x^4y^2

6. (-2a^2 b^3)^3

  - Cube the coefficient: (-2)^3 = -8

  - Cube each variable: (a^2)^3 = a^6 and (b^3)^3 = b^9

  - Result: -8a^6 b^9